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Finding the Fourth Proportional to 6,177.76, 9,255.03 and 3,054.13

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Solution

The fourth proportional to 6,177.76, 9,255.03 and 3,054.13 is: 4,575.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.76 : 9,255.03 = 3,054.13 : x
  2. Step 2: Convert to fraction form
    6,177.76/9,255.03 = 3,054.13/x
  3. Step 3: Cross multiply
    6,177.76x = 9,255.03 × 3,054.13
  4. Step 4: Simplify right side
    6,177.76x = 28,266,064.77
  5. Step 5: Solve for x
    x = 28,266,064.77/6,177.76
  6. Step 6: Final answer
    x = 4,575.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.